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Finding the Fourth Proportional to 27,480, 41,218.08 and 14,339.76

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Solution

The fourth proportional to 27,480, 41,218.08 and 14,339.76 is: 21,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,480 : 41,218.08 = 14,339.76 : x
  2. Step 2: Convert to fraction form
    27,480/41,218.08 = 14,339.76/x
  3. Step 3: Cross multiply
    27,480x = 41,218.08 × 14,339.76
  4. Step 4: Simplify right side
    27,480x = 591,057,374.86
  5. Step 5: Solve for x
    x = 591,057,374.86/27,480
  6. Step 6: Final answer
    x = 21,508.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.